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Second Order Filters

Second Order Filters. Section 14.2. First Order Example. Intuition: Put the zero below the pole to form a high pass filter. Put the pole below the zero to form a low pass filter. Problem of Sensitivity. Corner frequency: . A 5 % error tolerance in R1 leads a 5 percent error in

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Second Order Filters

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  1. Second Order Filters Section 14.2

  2. First Order Example Intuition: Put the zero below the pole to form a high pass filter. Put the pole below the zero to form a low pass filter.

  3. Problem of Sensitivity Corner frequency: A 5 % error tolerance in R1 leads a 5 percent error in corner frequency!

  4. General Transfer Function For complex poles:

  5. Variation of Q As Q increases, the poles move closer to imaginary axis. The circuit is closer to instability.

  6. Special Case

  7. Frequency Response With Different Q

  8. High Pass Filter Put zeros below the poles.

  9. Band Pass Filter

  10. Bandwidth of a Bandpass The normalized bandwidth is 1/Q.

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